364429800 has 384 divisors, whose sum is σ = 1485619200. Its totient is φ = 80352000.

The previous prime is 364429757. The next prime is 364429801. The reversal of 364429800 is 8924463.

It is a happy number.

364429800 is a `hidden beast` number, since 3 + 644 + 2 + 9 + 8 + 0 + 0 = 666.

364429800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (364429801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171645 + ... + 1171955.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2^364429800 is an apocalyptic number.

364429800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364429800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742809600).

364429800 is an abundant number, since it is smaller than the sum of its proper divisors (1121189400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364429800 is a wasteful number, since it uses less digits than its factorization.

364429800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 364429800 is about 19090.0445258779. The cubic root of 364429800 is about 714.2846121888.

The spelling of 364429800 in words is "three hundred sixty-four million, four hundred twenty-nine thousand, eight hundred".